Atkin-Lehner |
2- 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74704n |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
861630456909824 = 212 · 72 · 236 · 29 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 2 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30864,1526356] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:1288:1] [-36:1610:1] |
Generators of the group modulo torsion |
j |
793842719651857/210358998269 |
j-invariant |
L |
6.4249370738461 |
L(r)(E,1)/r! |
Ω |
0.46726537261811 |
Real period |
R |
1.145840146089 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4669c2 |
Quadratic twists by: -4 |